Phase Transitions on Strange Attractors and Fractal Aggregates View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1988

AUTHORS

M. H. Jensen

ABSTRACT

We use a thermodynamic formalism to describe multifractal sets. A thermodynamic function, ‘free energy’ as a function of ‘temperature’, is obtained. This function may exhibit a discontinuity in some order of the derivative, indicating a phase transition. For a strange attractor of the Hénon type we find a transition from the non-singular manifold to the turnbacks. In some fractal aggregates (especially experimental) there might be a transition from the tip-structure to the fjord-structure. This can be interpreted as a screening of the fjords from the diffusing field. More... »

PAGES

233-235

Book

TITLE

Universalities in Condensed Matter

ISBN

978-3-642-51007-6
978-3-642-51005-2

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-51005-2_47

DOI

http://dx.doi.org/10.1007/978-3-642-51005-2_47

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028294290


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0306", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Chemistry (incl. Structural)", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/03", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Chemical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "name": [
            "Nordita, DK-2100\u00a0Copenhagen, Denmark"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Jensen", 
        "givenName": "M. H.", 
        "id": "sg:person.01152213267.83", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01152213267.83"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "1988", 
    "datePublishedReg": "1988-01-01", 
    "description": "We use a thermodynamic formalism to describe multifractal sets. A thermodynamic function, \u2018free energy\u2019 as a function of \u2018temperature\u2019, is obtained. This function may exhibit a discontinuity in some order of the derivative, indicating a phase transition. For a strange attractor of the H\u00e9non type we find a transition from the non-singular manifold to the turnbacks. In some fractal aggregates (especially experimental) there might be a transition from the tip-structure to the fjord-structure. This can be interpreted as a screening of the fjords from the diffusing field.", 
    "editor": [
      {
        "familyName": "Jullien", 
        "givenName": "Remi", 
        "type": "Person"
      }, 
      {
        "familyName": "Peliti", 
        "givenName": "Luca", 
        "type": "Person"
      }, 
      {
        "familyName": "Rammal", 
        "givenName": "Rammal", 
        "type": "Person"
      }, 
      {
        "familyName": "Boccara", 
        "givenName": "Nino", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-642-51005-2_47", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-642-51007-6", 
        "978-3-642-51005-2"
      ], 
      "name": "Universalities in Condensed Matter", 
      "type": "Book"
    }, 
    "name": "Phase Transitions on Strange Attractors and Fractal Aggregates", 
    "pagination": "233-235", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-642-51005-2_47"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "86c9d235a9c8e16edffb54f56c56c282e814f4a9c3a9a2cc0ffcea7290daf8c8"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1028294290"
        ]
      }
    ], 
    "publisher": {
      "location": "Berlin, Heidelberg", 
      "name": "Springer Berlin Heidelberg", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-642-51005-2_47", 
      "https://app.dimensions.ai/details/publication/pub.1028294290"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T14:12", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8669_00000048.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-642-51005-2_47"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51005-2_47'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51005-2_47'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51005-2_47'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51005-2_47'


 

This table displays all metadata directly associated to this object as RDF triples.

79 TRIPLES      22 PREDICATES      27 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-642-51005-2_47 schema:about anzsrc-for:03
2 anzsrc-for:0306
3 schema:author N2460678348b4489dbf22b0da05617df7
4 schema:datePublished 1988
5 schema:datePublishedReg 1988-01-01
6 schema:description We use a thermodynamic formalism to describe multifractal sets. A thermodynamic function, ‘free energy’ as a function of ‘temperature’, is obtained. This function may exhibit a discontinuity in some order of the derivative, indicating a phase transition. For a strange attractor of the Hénon type we find a transition from the non-singular manifold to the turnbacks. In some fractal aggregates (especially experimental) there might be a transition from the tip-structure to the fjord-structure. This can be interpreted as a screening of the fjords from the diffusing field.
7 schema:editor Nc4ee4254449247edbb5d25c49ac71287
8 schema:genre chapter
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf Ncf7fb1a990a44035a494fc8c50cdfcf1
12 schema:name Phase Transitions on Strange Attractors and Fractal Aggregates
13 schema:pagination 233-235
14 schema:productId N1e3ccfa4355d48818642a5764ae9aa68
15 N261cb08d6b1144b68942d6b09a53da12
16 Nf9acd62f16f84d4fab2b9022a3ccb48d
17 schema:publisher Nbbe2dd5cc9b8461694fdf1da5c2851a9
18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028294290
19 https://doi.org/10.1007/978-3-642-51005-2_47
20 schema:sdDatePublished 2019-04-15T14:12
21 schema:sdLicense https://scigraph.springernature.com/explorer/license/
22 schema:sdPublisher N964ffb8aa59a40c9a02cfcb2371c00be
23 schema:url http://link.springer.com/10.1007/978-3-642-51005-2_47
24 sgo:license sg:explorer/license/
25 sgo:sdDataset chapters
26 rdf:type schema:Chapter
27 N1e3ccfa4355d48818642a5764ae9aa68 schema:name doi
28 schema:value 10.1007/978-3-642-51005-2_47
29 rdf:type schema:PropertyValue
30 N2460678348b4489dbf22b0da05617df7 rdf:first sg:person.01152213267.83
31 rdf:rest rdf:nil
32 N261cb08d6b1144b68942d6b09a53da12 schema:name readcube_id
33 schema:value 86c9d235a9c8e16edffb54f56c56c282e814f4a9c3a9a2cc0ffcea7290daf8c8
34 rdf:type schema:PropertyValue
35 N54d8da665cda475a92bffa516f17b34f rdf:first Na92437766a5c4e7ea01a78a437afadb0
36 rdf:rest N6fc31ece7a2f4eab8517ccfe0bdf2b0f
37 N6fc31ece7a2f4eab8517ccfe0bdf2b0f rdf:first N707f8b948391403194a0110e980ba8e6
38 rdf:rest Nb999aee5735442588cbdfac4970f8599
39 N707f8b948391403194a0110e980ba8e6 schema:familyName Rammal
40 schema:givenName Rammal
41 rdf:type schema:Person
42 N964ffb8aa59a40c9a02cfcb2371c00be schema:name Springer Nature - SN SciGraph project
43 rdf:type schema:Organization
44 Na92437766a5c4e7ea01a78a437afadb0 schema:familyName Peliti
45 schema:givenName Luca
46 rdf:type schema:Person
47 Nb999aee5735442588cbdfac4970f8599 rdf:first Ncb5d59c2c3474fc588cd2e523c54400c
48 rdf:rest rdf:nil
49 Nbbe2dd5cc9b8461694fdf1da5c2851a9 schema:location Berlin, Heidelberg
50 schema:name Springer Berlin Heidelberg
51 rdf:type schema:Organisation
52 Nc0b9af31334b47dc9d83e2751917eb0a schema:name Nordita, DK-2100 Copenhagen, Denmark
53 rdf:type schema:Organization
54 Nc4ee4254449247edbb5d25c49ac71287 rdf:first Ne55eb7143982440591e0253c4aa39d99
55 rdf:rest N54d8da665cda475a92bffa516f17b34f
56 Ncb5d59c2c3474fc588cd2e523c54400c schema:familyName Boccara
57 schema:givenName Nino
58 rdf:type schema:Person
59 Ncf7fb1a990a44035a494fc8c50cdfcf1 schema:isbn 978-3-642-51005-2
60 978-3-642-51007-6
61 schema:name Universalities in Condensed Matter
62 rdf:type schema:Book
63 Ne55eb7143982440591e0253c4aa39d99 schema:familyName Jullien
64 schema:givenName Remi
65 rdf:type schema:Person
66 Nf9acd62f16f84d4fab2b9022a3ccb48d schema:name dimensions_id
67 schema:value pub.1028294290
68 rdf:type schema:PropertyValue
69 anzsrc-for:03 schema:inDefinedTermSet anzsrc-for:
70 schema:name Chemical Sciences
71 rdf:type schema:DefinedTerm
72 anzsrc-for:0306 schema:inDefinedTermSet anzsrc-for:
73 schema:name Physical Chemistry (incl. Structural)
74 rdf:type schema:DefinedTerm
75 sg:person.01152213267.83 schema:affiliation Nc0b9af31334b47dc9d83e2751917eb0a
76 schema:familyName Jensen
77 schema:givenName M. H.
78 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01152213267.83
79 rdf:type schema:Person
 




Preview window. Press ESC to close (or click here)


...